Strong Convergence of a Generalized Iterative Method for Semigroups of Nonexpansive Mappings in Hilbert Spaces

被引：0
|
作者：
Husain Piri
Hamid Vaezi
机构：
[1] University of Tabriz,Faculty of Mathematical Sciences
来源：
Fixed Point Theory and Applications | / 2010卷
关键词：
Hilbert Space; Banach Space; Variational Inequality; Iterative Algorithm; Nonexpansive Mapping;
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摘要：
Using [inline-graphic not available: see fulltext]-strongly accretive and [inline-graphic not available: see fulltext]-strictly pseudocontractive mapping, we introduce a general iterative method for finding a common fixed point of a semigroup of non-expansive mappings in a Hilbert space, with respect to a sequence of left regular means defined on an appropriate space of bounded real-valued functions of the semigroup. We prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality.
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